论文标题
Cauchy矩阵解决方案用于某些局部和非局部复杂方程
Cauchy matrix solutions to some local and nonlocal complex equations
论文作者
论文摘要
在本文中，我们开发了一种Cauchy矩阵还原技术，该技术使我们能够从原始预还原系统的Cauchy矩阵溶液中获得还原的局部和非局部复杂方程的解决方案。 Specifically, by imposing local and nonlocal complex reductions on some Ablowitz-Kaup-Newell-Segur-type equations, we study some local and nonlocal complex equations, involving the local and nonlocal complex modified Korteweg-de Vries equation, the local and nonlocal complex sine-Gordon equation, the local and nonlocal potential nonlinear Schrödinger equation and the local and非本地电位复杂修饰的korteweg-de Vries方程。提出了上述局部和非局部复合方程的Cauchy矩阵型孤子溶液和Jordan块溶液。通过图形插图分析了某些获得的解决方案的动力学行为。
In this paper, we develop a Cauchy matrix reduction technique that enables us to obtain solutions for the reduced local and nonlocal complex equations from the Cauchy matrix solutions of the original before-reduction systems. Specifically, by imposing local and nonlocal complex reductions on some Ablowitz-Kaup-Newell-Segur-type equations, we study some local and nonlocal complex equations, involving the local and nonlocal complex modified Korteweg-de Vries equation, the local and nonlocal complex sine-Gordon equation, the local and nonlocal potential nonlinear Schrödinger equation and the local and nonlocal potential complex modified Korteweg-de Vries equation. Cauchy matrix-type soliton solutions and Jordan block solutions for the aforesaid local and nonlocal complex equations are presented. The dynamical behaviors of some obtained solutions are analyzed with graphical illustrations.
